Least Common Multiple (LCM) of 64 and 177
The least common multiple (LCM) of 64 and 177 is 11328.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 64 and 177?
First, calculate the GCD of 64 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 177 = 0 remainder 64 |
| 2 | 177 ÷ 64 = 2 remainder 49 |
| 3 | 64 ÷ 49 = 1 remainder 15 |
| 4 | 49 ÷ 15 = 3 remainder 4 |
| 5 | 15 ÷ 4 = 3 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 98 | 9506 |
| 122 and 15 | 1830 |
| 114 and 21 | 798 |
| 15 and 98 | 1470 |
| 108 and 18 | 108 |